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# Investigate the relationship between height and weight and how it changes between gender and year

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Introduction

Statistics Math’s Coursework

Hypothesis

I am going to investigate the relationship between height and weight and how it changes between gender and year. I chose this hypothesis because it seems to be the most interesting to study. My expected result will be clear and will show a strong relationship     between height and weight in year groups and gender. To prove my hypothesis I will use tables such as box and whisker diagrams and use various methods to pick my data randomly to show it doesn’t have biased results.

I will have to use secondary data the advantages I have are that I will not waste time as I would have if I collected it myself but the disadvantage is that the data might be unreliable. To get the sample of 10% I will have to use random sampling and stratified sampling. 10% of all the data is 118 also I deed a total of 118 students.

Yr 7 males

151 1183 x 118 = 15

Yr 7 females

131 1183 x 118 = 13

Yr 8 males

145 1183 x 118 = 14

Yr 8 female

125 1183 x 118 = 12

Yr 9 male

118 1183 x 118 = 12

Yr 9 female

143 1183 x 118 = 14

Year 7 male

Year 7 female

Year 8 male

Year 8 female

Year 9 male

Year 9 female

Middle

Year 9 Males

Anomalies

To make sure my data is reliable I will test for anomalies to do this I will use the interquartile range and find out if there are any outliers

Year 7 Females

Height (Lower Quartile and Upper quartile)

Lq 150           Uq 161.75

Iqr 11.75

The outliers are 138.25 and 179.375 but there are no anomalies in this data

Weight (Lower and Upper quartile)

Lq 40             Uq 48.75

Iqr 8.75

The outliers are 26.875 and 61.875 but there are no anomalies is the data

Year 7 Males

Height (Lower Quartile and Upper Quartile)

Lq 147          Uq 159.5

Iqr 12.5

The outliers are 134.5 and 172

Weight

Lq 39.5        Uq 49.5

Iqr 12.5

The outliers are29.5 and 59.5

Year 8 Females

Height (Lower Quartile and Upper quartile)

Lq 155          Uq   163

Iqr   8

The outliers are 145 and 173

Weight (Lower and Upper quartile)

Lq 45            Uq 52

Iqr 7

The outliers are 36.25 and 60.75

Year 8 Males

Height (Lower Quartile and Upper Quartile)

Lq 152        Uq 162

Iqr 15

The outliers are 133.25 and 185.75

Weight

Lq 38        Uq 52

Iqr 14

The outliers are 20.5 and 69.5

Year 9 Females

Height (Lower Quartile and Upper quartile)

Lq 153          Uq   162

Iqr   9

The outliers are 141.75 and 173.25

Weight (Lower and Upper quartile)

Lq 45.25      Uq 52

Iqr 6.25

The outliers are 36.8125 and 60.4375

Year 9 Males

Height (Lower Quartile and Upper quartile)

Lq 154.25    Uq 172.5

Iqr 18.25

Conclusion

This project I think had quite a few limitation as I was not allowed to use my own data which in my mind would have been more reliable and accurate also there was a limitation to what graphs I could use and how I could represent my data

The only problem I faced was getting the data into a type of data I could use that would be relevant to my hypothesis I had to delete several columns and that was at times frustrating especially when I had a couple of times deleted columns I needed. If I could make changes I would have made the change about the data I would have allowed myself to go out and collect my own as I said before this would have been more accurate and reliable. All in all this was an enjoyable piece of coursework with an interesting hypothesis and I have learnt many facts from just studying it and I hope you have agreed with the hypothesis due to my evidence

Samma Khan 11.L Ms Rawat

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

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